AN ASYMIPOTOTIC METHOD FOR NATURAL FREQUENCIES OF TRANSVERSE AND LONGITUDINAL AND TORSIONAL FREE VIBRATIONS OF ELASTIC BARS IN NON-UNIFORM TEMPERATURE FIELDS

This paper studies transverse and longitudinal and torsional free vibrations of elastic bars in non-unifOrm temperature fields. An simple asympototic method with high accuracy for calculation of natural frequencies is presented. The lst order approximate calculating formulae of natural frequencies are given when the temperature is linear distributed along bars.